11 citations · 11 across the 2 of their papers we have counts for
5 papers · 1 filter
Calmness and Calculus: Two Basic Patterns
Matúš Benko, Patrick Mehlitz
We establish two types of estimates for generalized derivatives of set-valued mappings which carry the essence of two basic patterns observed troughout the pile of calculus rules.…
On estimating the regular normal cone to constraint systems and stationarity conditions
Matúš Benko, Helmut Gfrerer
Estimating the regular normal cone to constraint systems plays an important role for the derivation of sharp necessary optimality conditions. We present two novel approaches and in…
Stability analysis for parameterized variational systems with implicit constraints
Matúš Benko, Helmut Gfrerer, Jiří V. Outrata
In the paper we provide new conditions ensuring the isolated calmness property and the Aubin property of parameterized variational systems with constraints depending, apart from th…
Characterizations of Tilt-Stable Minimizers in Second-Order Cone Programming
Matúš Benko, Helmut Gfrerer, Boris S. Mordukhovich
This paper is devoted to the study of tilt stability of local minimizers, which plays an important role in both theoretical and numerical aspects of optimization. This notion has b…
Calculus for directional limiting normal cones and subdifferentials
Matúš Benko, Helmut Gfrerer, Jiří V. Outrata
The paper is devoted to the development of a comprehensive calculus for directional limiting normal cones, subdifferentials and coderivatives in finite dimensions. This calculus en…